Answer:
x=12
Step-by-step explanation:
(9^5)(9^7)=9^x
282429536481=9^x
<em>Step 1: Flip the equation.</em>
9^x=282429536481
<em>Step 2: Solve Exponent.</em>
9^x=282429536481
log(9^x)=log(282429536481)(Take log of both sides)
x*(log(9))=log(282429536481)
x=log(282429536481)/log(9)
x=12
<h2>
Answer: <em><u>
Less Than</u></em></h2>
Step-by-step explanation: 7^2 = 49, but 3^4 = 81. 49 < 81
Expanding the left side gives
which gives two solutions,
and
. But if
, then
, but this number isn't real, so
is an extraneous solution. Meanwhile if
, you get
, so this solution is correct.
"Potential solutions" might refer to both possibilities, but there is only one actual (real) solution.
Answer: x=-7
Step-by-step explanation:
1. distribute the 2 to (3x-12) >>>> 8x+6x-24=-122
2. add 8x and 6x to get 14x >>>> 14x-24=-122
3. add 24 to both sides>>>> 14x=-98
4. divide 14 by both sides>>>x=-7
Answer:
First answer: "Add the exponents"
Step-by-step explanation:
The laws of exponents include the following for product of exponents with the same base:
which implies addition of exponents
So you need to add exponents
